If the coordinates of A and B are A(5,5) and B(-1,-4) respectively, find the coordinates of the point C that divides by the ratio 2: 1. O C. (3,2) O A. (-1,-1) O D. (1,-1) O B. (-1,1)

Q: Given AB with A and B , find the coordinates of C if C divides AB one fifth of the way from A to…

A: For a line AB such that A=x1,y1,z1and B=x2,y2,z2 is divided in ratio m:n then point of division…

Q: For what value of K,the point (k,k) ,(2,3) and (4,-1) are collinear

A: k=7/3

Q: P is the point (3, -1). Q is the point (-4, -4). What is the length PQ?

A: length

Q: The lengths of the three sides are given for several right triangles. For each, write an equation…

A: We know that in a right angle the square of longest side is equal to sum of square of  other two…

Q: 2.) ( 4x - 29x- 38) ÷ ( 2x + 3 )

A:

Q: -2x - y - 3z = 3 2x - 3y + z = 13 2x - 3z = -11

A: We need to solve the system of equations -2x - y - 3z = 3               (i)   2x - 3y + z = 13…

Q: Which of the following equals 3x2 + 2x + C? (x + x2) dx (23 + 2) dx O Option 1 O Option 2 6x+2) dx…

A:

Q: 2. Calculate ob, there a= 2i +10; -12k and b=3i+yf

A:

Q: For P(-3,–1,0)andQ(-5,3,4), find the distance between P and Q rounded to the nearest tenth.

A: To find the distance between P and Q

Q: 15x+ 5 D 80° 6x + 6 B e of the missing angle

A:

Q: 40. Using the following ordered pairs: A(-5, 5), B(-4, -6), C(7, 7), and D(2, -4), what is the image…

A: A detailed solution is given below.

Q: 4) In the given diagram, find the value of x. X = Ho the lo of 8x-2 15x

A:

Q: Find y in the parallelogram below. 2y + 4 2x+2/ 3x-3 O 11 7 O 5 O 6 y + 10

A:

Q: 5. In which quadrant is the ordered pair (-2,-3) ?

A:

Q: (7, -8) and w=(-4,8), Given v= find v+w. v+w=

A: We know that, A vector in form of V→=a,b is represented as V→=ai^+bj^

Q: Where a and b are real numbers, (a + b, a – 2b) is the point of intersection for the lines 3x 2x -…

A: We have, point a+b,a-2b is the point of intersection of lines 3x-2y=19 and 2x-5y=9. Therefore, such…

Q: (-3,2) E (3,2) S (-3,-2) T (3,-2)

A: Consider the points,   B (-3, 2), E (3, 2), S (-3,-2) and T (3,-2)   To plot the given points on the…

Q: Determine the equation of the line that passes through the given points to complete the tabie below.

A: We have to find the equation of lines through the given points.

Q: The points A, B and Care (6,4), (-2, 8) and (4, 6) respectively. The line perpendicular to AB which…

A:

Q: In AMNO, points C, D and E are midpoints. MO = 13, ED= 15 and ON = 26 N a. Find CE b. Find CD c.…

A: (1)   From the mid-point theorem, If points C, D, and E are mid-points of the three sides MN, NO,…

Q: The distance d between two points is given. Find the value of b (b,4)(2,-1); d=5

A: Distance between two points is given d=5

Q: Given P(- 2, 0) and Q(2, 5), find PQ. а. (0, 2.5) b. (0, 5) c. (-4, – 5) d. (4, 5)

A: Given- P-2,0 and Q2,5. To find- The value of PQ→. Concept Used- PQ→=OQ→-OP→

Q: Which equalion represents O8? 2 B O A. (x-3)++ 3 - 4 B. (x+ 3) - (y- 3) = 4

A: Equation of circle

Q: In the diagram below, Đ1 and Đ2 are a linear pair. Find m Đ1 if m Đ1 =2x-8 and m Đ2 = 7 x + 8. 32°…

A: If two lines intersect each at one point then linear pair of angles are formed. The angles formed by…

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.